{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "# @author: tongzi\n",
    "# @created date: 2019/10/10\n",
    "# @description: decision tree and random forest\n",
    "# @last modification: 2019/10/13"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import Libraries\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from scipy import stats\n",
    "%matplotlib inline\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 1.创建决策树"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x6e9b0b8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6df2b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "X, y = make_blobs(n_samples=300, centers=4, random_state=0, cluster_std=1.0)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在这组数据上构建的简单决策树不断将数据的一个特征或另一个特征按照某种判定条件进\n",
    "行分割。每分割一次，都将新区域内点的多数投票结果标签分配到该区域上。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Scikit-Learn决策树拟合："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "tree = DecisionTreeClassifier().fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize_classifier(model, X, y, ax=None, cmap='rainbow'):\n",
    "    ax = ax or plt.gca()\n",
    "    \n",
    "    # plot trainning dataset\n",
    "    ax.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap=cmap, \n",
    "               clim=(y.min(), y.max()), zorder=3)\n",
    "    xlim = ax.get_xlim()\n",
    "    ylim = ax.get_ylim()\n",
    "    \n",
    "    model.fit(X, y)\n",
    "    xx, yy = np.meshgrid(np.linspace(*xlim, num=300),\n",
    "                         np.linspace(*ylim, num=300))\n",
    "    Z = model.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "    \n",
    "    #\n",
    "    n_classes = len(np.unique(y))\n",
    "    ax.contourf(xx, yy, Z, alpha=0.3, levels=np.arange(n_classes+1)-0.5,\n",
    "               cmap=cmap, clim=(y.min(), y.max()),zorder=1)\n",
    "    ax.set(xlim=xlim, ylim=ylim)\n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:967: UserWarning: The following kwargs were not used by contour: 'clim'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb4b1668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_classifier(DecisionTreeClassifier(), X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b80aca444c664c24b86f57e66cbcee32",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(Dropdown(description='depth', index=1, options=(1, 5), value=5), Output()), _dom_classes…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import helpers_05_08\n",
    "helpers_05_08.plot_tree_interactive(X, y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "注意，随着决策树深度的不断增加，我们可能会看到形状非常奇怪的分类区域。例如，\n",
    "在深度为 5 的时候，在黄色与蓝色区域中间有一个狭长的浅紫色区域。这显然不是根据数\n",
    "据本身的分布情况生成的正确分类结果，而更像是一个特殊的数据样本或数据噪音形成的\n",
    "干扰结果。也就是说，这棵决策树刚刚分到第 5 层，数据就出现了过拟合。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 2.决策树与过拟合"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这种过拟合其实正是决策树的一般属性——决策树非常容易陷得很深，因此往往会拟合局部数据，而没有对整个数据分布的大局观。换个角度看这种过拟合，可以认为模型训练的是数据的不同子集。例如，在图 5-72 中我们训练了两棵不同的决策树，每棵树拟合一半数据。\n",
    "  ![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "显然，在一些区域，两棵树产生了一致的结果（例如 4 个角上）；而在另一些区域，两棵\n",
    "树的分类结果差异很大（例如两类接壤的区域）。不一致往往都发生在分类比较模糊的地\n",
    "方，因此假如将两棵树的结果组合起来，可能就会获得更好的结果！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a33e4ad4ce29492f8bff8542a52311cc",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(Dropdown(description='random_state', options=(0, 100), value=0), Output()), _dom_classes…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "helpers_05_08.randomized_tree_interactive(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "就像用两棵决策树的信息改善分类结果一样，我们可能想用更多决策树的信息来改善分类\n",
    "结果。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.8.2评估器集成算法：随机森林  \n",
    "通过组合多个过拟合评估器来降低过拟合程度的想法其实是一种集成学习方法，称为装袋\n",
    "算法。装袋算法使用并行评估器对数据进行有放回抽取集成（也可以说是大杂烩），每个\n",
    "评估器都对数据过拟合，通过求均值可以获得更好的分类结果。随机决策树的集成算法就是**随机森林**。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:967: UserWarning: The following kwargs were not used by contour: 'clim'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6e7f828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.ensemble import BaggingClassifier\n",
    "tree = DecisionTreeClassifier()\n",
    "bag = BaggingClassifier(tree, n_estimators=100, max_samples=0.8, \n",
    "                        random_state=1)\n",
    "visualize_classifier(bag, X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在这个示例中，我们让每个评估器拟合样本 80% 的随机数。其实，如果我们用随机方法\n",
    "（stochasticity）确定数据的分割方式，决策树拟合的随机性会更有效；这样做可以让所有数据在每次训练时都被拟合，但拟合的结果却仍然是随机的。例如，当需要确定对哪个特征进行分割时，随机树可能会从最前面的几个特征中挑选。  \n",
    "  \n",
    "在 Scikit-Learn 里对随机决策树集成算法的优化是通过 RandomForestClassifier 评估器实现的，它会自动进行随机化决策。你只要选择一组评估器，它们就可以非常快速地完成（如果需要可以并行计算）每棵树的拟合任务。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#### from sklearn.ensemble import RandomForestClassifier\n",
    "model = RandomForestClassifier(n_estimators=100, random_state=0)\n",
    "visualize_classifier(model, X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.8.3随机森林回归  \n",
    "实随机森林也可以用作回归（处理连续变量，而不是离散变量）。随机森林回归的评估器是 RandomForestRegressor ，其语法与我们之前看到的非常类似。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc6f6550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState(123)\n",
    "x = 10 * rng.rand(200)\n",
    "def generate_signal(x, sigma=0.3):\n",
    "    fast_oscillation = np.sin(5 * x)\n",
    "    slow_oscillation = np.sin(0.5 * x)\n",
    "    noise = sigma * np.random.randn(len(x))\n",
    "    return slow_oscillation + fast_oscillation + noise\n",
    "\n",
    "y = generate_signal(x)\n",
    "plt.errorbar(x, y, 0.3, fmt='o')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过随机森林回归器拟合曲线："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0xc90e940>]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc7b9940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "forest = RandomForestRegressor(200)\n",
    "forest.fit(x[:, None], y)\n",
    "\n",
    "xfit = np.linspace(0, 10, 1000)\n",
    "yfit = forest.predict(xfit[:, None])\n",
    "ytrue = generate_signal(xfit, sigma=0)\n",
    "\n",
    "plt.errorbar(x, y, 0.3, fmt='o', alpha=0.5)\n",
    "plt.plot(xfit, yfit, '-r')\n",
    "plt.plot(xfit, ytrue, '-k', alpha=0.8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "真实模型是平滑曲线，而随机森林模型是锯齿线。从图中可以看出，无参数的随机森林模\n",
    "型非常适合处理多周期数据，不需要我们配置多周期模型！"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 5.8.4举例：用随机森林识别手写数字"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_digits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "digits = load_digits()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_keys(['data', 'target', 'target_names', 'images', 'DESCR'])\n"
     ]
    }
   ],
   "source": [
    "print(digits.keys())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 8, 8)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "digits.images.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAG+CAYAAADsjWHpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzsnX1QFWea9q+DgsYvRIXgCCqywV0LdaMkZTKWbIJxU2NYHRNWoxhj4SAxwY9smOBHIDgoGr+iBrMRDTFCdNUgRMfVkY2yRapMObPEjEnpVEUDUUbUwWFAQRDO+4cFb/RcD3bndJ8+Z/r+/RWfnNPn6qfv7ofu++r7djidTicEQRAEwSb4WS1AEARBEDyJLHyCIAiCrZCFTxAEQbAVsvAJgiAItkIWPkEQBMFWyMInCIIg2IquRmxk//79dPzNN990GXvmmWdcxtasWeMyFhQU5L4wnfzLv/yLy9hf//pXl7GsrCyXsSlTppghScnJkyddxqZOneoy9s///M+avmsEa9eupePp6ekuYxERES5jf/jDH1zGrIgDdsxffvlll7Hi4mIPqLkLi00AGDp0qMvYRx99ZKoWd9B6jn311VceUHOXd999l44zXeyYnzlzxmUsMDCQbvP77793Gevbt+8DFP5/Fi9eTMeZLhaz7Pt6fl8v7JoE8Lk167rEkDs+QRAEwVbIwicIgiDYCln4BEEQBFthSI6P5fIA4OLFiy5jN27ccBnr16+fy9i+ffvoNhMSEnSq0w571l1WVuYyduLECZcxs3J8qlzHU0895TLG8gosp2AELG+nOmYffPCBy9j8+fNdxliOb+LEiT9BnXuwHBnLlXoS1XFk8blr1y6XsSFDhmjephGUlJTQcaY3MzPTNB3uwK4HLB/IxlgOS7VNPejJfbI4Znk0o3JrLJ5UccBwOBwuY6NHj3YZMyL/K3d8giAIgq2QhU8QBEGwFbLwCYIgCLZCFj5BEATBVug2tzADAjOxAMB3333nMjZs2DCXMfZSO/sdwBhziyo5qjXJ60mjg+olaZb0ZS+LspftjSA5OdllTGVyGjt2rMsYe4Hd00YWlQGBmQLYi796zCHsRXM9qEwRlZWVLmPM5KT1xfHOfksPegwrqpecPYXqpXDG22+/7TLG4sCsl7FV1x6thQzYsVVpVRVNUKGKJ0ZsbKzLGNsHs+ZR7vgEQRAEWyELnyAIgmArZOETBEEQbIUsfIIgCIKtkIVPEARBsBW6XZ2s5NiYMWPoZ5mDk8Fcf0bBygkxZxYA1NXVadqmXreTO6gcZ8wBxT5rVik1dmwvXLhAP8tcv8zByWLLzLZEqvY9zKXnbosXVcxpReUKZS1xWBwzN6CZ7WhUDj/mRvakS9rdkl2qFkb3o3JjszjSg+r7jz76qMuY1hZI7jqOf8p22Pwwd68ep6ge5I5PEARBsBWy8AmCIAi2QhY+QRAEwVbIwicIgiDYCkPMLazkmLvbNMrUwAwIqgSx1t80K+HKtqtKpquS5/ejMnCYgcrMVFtb6zLGzC1srLS0lG5Tb3ywvmBLliyhn50zZ46mbW7evNllLD8/X5curaiONzNmsJJ8qn1l6CnhpUJ1jjADBItxZnQwwoTBtuFuCUN2bMwywOm59rDeh8xoZpS5hRlnmJkJ4OfvokWLXMbYsVGVCtSzH3LHJwiCINgKWfgEQRAEWyELnyAIgmArZOETBEEQbIVucwtLSqp65zGYkeX3v/+9y9i///u/6xPmQVjC1YjqE6y6BzNQqGBJdjOrc2iFxQwzrcyfP99lbO3atXSba9as0aWB9ahjYwCwa9culzGVAeJ+PN1bzh0ThZ5+gnpRGQ2Y4YIZNpgZp6Kigm5Tz7nHdKmMQw6HQ9NnzTKysJh76qmn6GdZ/0N2fFl8qvbfCNOL6rxx5xqqMl9pNfwBcscnCIIg2AxZ+ARBEARbIQufIAiCYCtk4RMEQRBshW5zC6vOwcwpALB//35NY4w333xTn7C/A1hFGVX1CNaOhiWuWVuiuXPn0m2628IoPT2djmttQXT8+HGXMaNMTsyAoKqCwRLv7PuswotZZiJWeQbgBh2tLZDMNOKoqiMx0wozUTBjhsq84K6xTGWWYHMbGxvr1m/pgc2LypDF9oHNIWtfpKru5G4rrc5gx4ztA9Omx8SiQtfCd/LkSeTk5KClpQURERFYvHgxevbs6bYIs3A6nUhPT0dUVBSSkpKsltMpJSUleO+99+BwONCtWze8/PLLiIyMtFqWkoKCAuzZswcOhwPh4eHIzs62WtIDKS0tRVpamtId6A2sWbMGR48e7bjARUREaO4BZwXnz59HdnY26uvr4efnh5UrVyI6OtpqWS4UFxffU06uvr4eNTU11GXqLZw8eRJ5eXlwOBzo06cPli1bZrUkJbt370ZBQQG6d++OyMhIZGRkeIWjXIXmha+2thZLly7FO++8g0GDBmHnzp3Iz8/Ha6+9Zqa+n8x3332HrKwsfP3114iKirJaTqdcuHAB69atw29+8xsEBQWhoqICGzZswLZt26yWRjl79iw+/PBDlJSUoHfv3li7dq2u1y6s4Pvvv1e+GuFNVFRUYOPGjcrmzt5EY2MjkpKSsGrVKsTGxqK0tBRvvPEGjh49arU0F6ZOndpxh9vS0oLExEQkJydjwIABFivjNDU1ITMzEwUFBQgPD8eePXuwYcMGq2VRTp06hby8POzbtw+hoaEoLi5GRkYGtmzZYrU0JZpzfOXl5Rg5ciQGDRoEAHjuuedw4sQJOJ1O08S5Q2FhIRISEvDss89aLeWBBAQEIDs7u+N9t2HDhuGvf/0r7ty5Y7EyTnR0NI4dO4bevXvj9u3bqKmp8eq/7hobG5GWlqZ8FOstNDc349tvv8WOHTsQHx+P1NRUVFdXWy1LyRdffIHw8PCOx39xcXFefXfaTl5eHvr164cZM2ZYLUVJa2srnE4nGhoaAAC3bt1CQECAxao433zzDZ588kmEhoYCACZNmoTPP/8czc3NFitTo3nhu3LlSseOAcCAAQNw69Yt3Lp1yxRh7pKRkYH4+HirZWgiLCysI4fkdDrx8ccfIyYmBl276k7Begx/f3+UlpZiwoQJOH36NKZNm2a1JCUZGRmYPn06hg8fbrWUTqmpqcG4ceOwePFifPbZZxg9ejQWLFjgtX9cXrx4EcHBwVi2bBmmTZuGuXPnorW11WpZnVJbW4v8/HyvfmwIAD179kR6ejp+9atfYfLkydi/f7/XPl0bPXo0Tp06hcuXLwMAioqK0NLSYloXGyPQvPC1tbXRSgZdunQxVJCdaWpqwqZNm3DlyhVaxcTbmDhxIr788kukpqYiKSnJKy/QhYWF6Nq1K1544QWrpTyQ8PBw5OXlISoqCg6HA0lJSaiqqsKlS5eslka5c+cOysrKMH36dBQVFXU8PvTmv/T37duHuLg4hIeHWy2lU86fP4+dO3di7969+O1vf4u5c+d67ROLmJgYvPrqq3jttdcwbdo0OBwO9O3bF/7+/lZLU6L5lmLgwIE4c+ZMh6vz8uXLCAwMxIgRI5S5E+bMjImJcRnTU/LMCFSP5ZirkbnpmNNS5WLTSnV1NVavXo3IyEhs374d3bt3B6Cv5A9zYTH9qlJEWl2dlZWVuHbtWsexfP7555GZmYkePXp06P4xycnJmrbLHJwffPCBpu+qOHjwIJqamjBlyhS0tLR0/Pf27dvx8MMP0++w+Kirq3MZc/eY38+5c+dw7ty5e9yWTqcT/v7+OHHiBP2O1twqc6C6W2orJCQEkZGRHT3XJk6ciBUrVuCHH35Qzg1zGjLnHtNmhAv1yJEjWLFixT1jKuc0K13nqUf65eXliImJ6TAKzZs3D++++y7Gjx9PnwSxsoDMAcrOcXf7LzY0NODxxx9HQkICgLtPLrZs2YK+ffsqt82uX+wOkR0bI8pDar7jGz9+PM6cOdMRuHv37kVcXJzbAoS7gTN79mxMmjQJmzZtoouHN3Ht2jW8/vrrHQ1mDx06hEceecQrdR84cACHDx9GSUlJxx8UJSUlykXPSvz8/LBq1Sr88MMPAIBPPvkEw4cPvyfF4E1MmDABly5dwtmzZwEAp0+fhsPhQFhYmMXKOHV1daiqqqKWfm9jxIgROH36NK5fvw7griM5LCzMK9MfV69exezZszvyke+//z4mT55MnxB6C5pnsX///sjJycHChQvR0tKCwYMH+4RLzhcoLCxEdXU1jh8/fs+7bB999JFhneiNJCYmBikpKXjppZfQpUsXhISEIDc3F5988onV0nyaqKgorFixAq+88gpaW1sRGhqKjRs3Wi1LSXBwMHJzc5GVlYXGxkYEBARg69at6NatGxobG62W50JlZSWCg4O9+hFcO0888QSSkpIwe/Zs+Pv7IzAwENu2bUNaWprV0lwYNmwYkpOTkZCQgLa2NowdOxYZGRlWy+oUXX8+xMbGevQFTiPQW8XfCubPn+8TOb0fM3PmTMycOdNqGboICwvz6nf4gLuPotwtJOBJHnvsMc1FKaxm1KhRtEiCtzJr1izMmjXLahmaSExMRGJiotUyNCMlywRBEARb4XB6oxVPEARBEExC7vgEQRAEW2GIRUj1oiKz12u1LhtRiNQImPWfWZpVlmh37c+q4sSbNm1yGfNkB3ZmS1dV7WDHnOlidnWVLd4IS7MKFrds39gcGDHf7Jiz4w3wc48VMGdcvHiRjhvReVuF1XPLUF2/mC42xuJWVfjZXfScD1qvtWZW29FTAFurXiOQOz5BEATBVsjCJwiCINgKWfgEQRAEWyELnyAIgmArDDG3qBKuLEmfmZnpMsaSmqqkqNH1EX8M01tZWalpTJUgdzchz2osqrbL5szdOnwqmPlAZfBhGth8sbqTqvkzwtyiOmZsHrUaPoyIgx83TG1H1TCV1WNk5xgzCZhpYlHBYoTNjVlGFlYjUk9dUT3GNjNQzQvbL3evEUbEh8qkyK6hYm4RBEEQBJOQhU8QBEGwFbLwCYIgCLZCFj5BEATBVug2t7CEr6q6CDNmsDf2mSFA1YDVTBYtWqTpc6xDhVlGAdV2WUKdVZAwy9zCks6qY8aS1iwOmFHDiOajKlRzw+KRJenZsVEl4/VUImLGHdXcss+y/fJUA9V2VHqZSUdVlcYMmKlCZZTSaoRh10SzUJ0PrPqK1qpTZpqc9Mwta/zLrhNG6JU7PkEQBMFWyMInCIIg2ApZ+ARBEARbIQufIAiCYCtk4RMEQRBshW5Xpx53mNbyYmY6zphDT+XmY44vT8LcYSpXFJszT7rL9KDV0cicXkY5zpjrjbnIAO4yZDrq6upcxszqE6iKTa0uRU/Hhh5XtpnO3fuZMmWKy9iQIUPoZ5lbncUy06+ab3fjWRVfTCtz1ZvVJ1CF6lrLXOlsbtj3jejVKnd8giAIgq2QhU8QBEGwFbLwCYIgCLZCFj5BEATBVug2t1hRSswdWJJZlXhmSW49JY7chSV3WckeFVr7BHq6fBUzlmgttWVEIhvQZ+5gBgC2D4xHH31U8++oYPOgxxQxd+5ctzW4i6ovISMiIsJlbPTo0S5jWVlZ9PvMsKIHd48ZM0mp4s3d3n0qIxCbL2Yu9PS5r/o9rfPA9ldP+T4VcscnCIIg2ApZ+ARBEARbIQufIAiCYCtk4RMEQRBshcPpdDr1fIElrYOCguhnmTGB9bJjSViVqcMsYwnAqx+w5CrrG6cnmW8EzIDBTBGe1qUVrVVqVOYWVd87FXoq+LDfZFVamBnK0xVStMZsRUWFy5iZ55LK1MDmUWsfTFUs6JlzFgcq4xIzYLDfYtcvlQnF3TnX0++RaXDXXONpWHzn5+fTz+oxwskdnyAIgmArZOETBEEQbIUsfIIgCIKtkIVPEARBsBW6KrecPHkSGzZsQHNzM4YPH47Vq1ejV69e1LAC8PYuBw8edBljiXAjEu9OpxPp6emIiopCUlLSAz/PTCsMM6oflJSUYOfOnXA4HHjooYewfPlyjBw5UmnA2Lx5s8sY08++r9LPkvSqiiF5eXn49NNP4XA4MGjQICxbtgx//OMf6Wdv3LjhMsYMBcz4YJRZpG/fvigtLUVaWlqH0UPVokWrgUuvwUYLa9aswZEjR9CnTx8Adw00q1atQllZGf08az3DqniYZWQ5f/48srOzUV9fDz8/P6xcuRLR0dFKE4XWFkQsblnMAzxG7o/b4uLie0wR9fX1qKmpQVlZmdJIx84HFht6qivpobi4GHl5eXA4HOjTpw+WLVumPB+ZLk8arXbv3o2CggJ0794dkZGRyMjIQN++fZXmOq0VwC5evOgyxgwvgLY4aEfzwldbW4ulS5diz549GDp0KNatW4f169ebdtDd5bvvvkNWVha+/vprREVFWS2nUy5cuIB169ahqKgIISEhKCsrQ2pqqtc6sM6ePYvCwkIUFBSgV69e2Lx5Mz744AM8+eSTVktT8v3332Pt2rVWy3ggFRUVyM7OxqhRo6yW8kAaGxuRlJSEVatWITY2FqWlpXjjjTdw9OhRq6W5MHXq1I5Ft6WlBYmJiUhOTsaAAQMsVsZpampCZmYmCgoKEB4ejj179mDDhg1Wy6KcOnUKeXl52LdvH0JDQ1FcXIyMjAxs2bLFamlKND/qLC8vx8iRIztW0BdffBGHDh2CzrchPEZhYSESEhLw7LPPWi3lgQQEBCA7OxshISEAgOjoaFy/fh3Nzc0WK+NER0fjwIED6NWrF27fvo1r165pvlu2gsbGRqSlpSE9Pd1qKZ3S3NyMb7/9Frt378bMmTPx5ptv4sqVK1bLUvLFF18gPDy844lPXFyc5pqmVpKXl4d+/fphxowZVktR0traCqfTiYaGBgDArVu3EBAQYLEqzjfffIMnn3wSoaGhAIBJkybh888/99rrF6Bj4bty5UrHjgFAaGgoGhoacPPmTVOEuUtGRgbi4+OtlqGJsLCwjsdmTqcTOTk5ePrpp7020AGga9euKCsrQ3x8PL766is899xzVktSkpGRgenTp2P48OFWS+mUmpoajBs3DikpKSgsLER0dDTS0tK89o/LixcvIjg4GMuWLcO0adMwd+5ctLa2Wi2rU2pra5Gfn49ly5ZZLaVTevbsifT0dPzqV7/C5MmTsX//frz22mtWy6KMHj0ap06dwuXLlwEARUVFaGlp8dp3iAEdC19bWxscDofrBvzEH2MUt27dwqJFi1BVVYXs7Gyr5TyQ2NhY/O53v8O8efOwaNEitLW1WS3JhcLCQnTt2hUvvPCC1VIeSHh4OPLy8hAZGQmHw4HExERcunQJf/7zn62WRrlz5w7Kysowffp0FBUVdTw+9Oa/9Pft24e4uDiEh4dbLaVTzp8/j507d2Lv3r347W9/i7lz5yI9Pd0r/wiKiYnBq6++itdeew3Tpk2Dw+FA37594e/vb7U0JZpXrYEDB+Lq1asd/66pqUFgYCB69OhhijC7UV1djRkzZqBLly74+OOPO8wN3khlZeU9yen4+HhcuXIFjY2NFqriHDx4EH/84x8xZcoUJCcno6mpCVOmTEFNTY3V0lw4d+4crT7RpUsXC9Q8mJCQEERGRnaYaSZOnIjW1lb88MMPFitTc+TIEUybNs1qGQ+kvLwco0aNQlhYGADghRdewIULF3Dnzh2LlbnS0NCAxx9/HAcPHkRRUREmTpwIwPMtkPSg2dwyfvx4rF27Ft9//z2GDh2KvXv3Ii4uDoC6VAxzZjE3j8pd52mY84055M6cOeMyprqt13LwGxoaMHv2bPzyl790eZzBnGWAeyW/VJqYS5G5oq5du4bly5dj27ZtCAwMxPHjxzFkyBBs376dblcrrK+aav+1cuDAgY7/vnTpEuLj45WusHZY3LIcprva7sfPzw+rVq3CnTt3MGDAAJw8eRIDBw7En//8Z+reBLgT1qgehg9iwoQJWLt2Lc6ePYvo6GicPn0aDocDYWFh6NatG/0Om1tmkGMOTlXfPa29Cuvq6lBVVaW5/x47p81w8jJGjBiBwsLCjlg4duwYwsLClKklpkvlgjWaq1ev4uWXX8aRI0fQq1cvvP/++5g8eTIcDofy2r5kyRJN22bXX1Uc6FloNS98/fv3R05ODhYuXIiWlhYMHjzYJ1xyvkBhYSGqq6tx/PhxHD9+vGPcW/4guJ+YmBjMmDEDaWlp6NKlC/r374+3337b680j3k5UVBRWrFiBd999F21tbQgKCsK8efOslqUkODgYubm5yMrKQmNjIwICArB161blomc1lZWVCA4O9upHcO088cQTSEpKwuzZs+Hv74/AwEBs27YNaWlpVktzYdiwYUhOTkZCQgLa2towduxYZGRkWC2rU3S9xxcbG6t8Z89bWbNmjdUSHsj8+fMxf/58+v9YV3VvID4+3mfMQ+2EhYXRYs3exJQpU7zaIXs/jz32GPbv32+1DE2MGjXqnj8svZ1Zs2Zh1qxZVsvQRGJiIhITE62WoRlxpgiCIAi2QhY+QRAEwVbo7scnCIIgCL6M3PEJgiAItkKXuUWFquCo1qLHzIqrKs5sJuwVgYiICE3fZcVUAe1WaxWqWqhZWVkuY8zGrrL+ugsrPK1y+TJDwf/93/+5jDE7sso40f6ukKdgMcpct+4ebz2/39n4/bC5NfMcU73ew/Syz7JYNrNjPIOde1qd1qo6u+7Gh+oVGjaH7Ph66nWMzjQAfH7YvpkVo3LHJwiCINgKWfgEQRAEWyELnyAIgmArDMnxqfJQrLQXG2MlpFQNK83KoQCebdzI0JrrAHjujs2ZWabdCxcuuIz94Q9/oJ995plnNI2xXOCbb75Jt6n6LSNgeRwWG2bVImQ5c1UjWjbOYsPTuR1VeyJ2/rOyVN5Q51GrH4Gdo6rclFnl5FjOTOv1TJWPNOIYqPwfLA5YGTN2TTNiDZA7PkEQBMFWyMInCIIg2ApZ+ARBEARbIQufIAiCYCt0m1tYIlTV32zRokUuY8wIY+aLqcwwokq4qkw698M6VBiRcGXJZNXcMAMG+yzbVyPme+zYsS5jeirfM3PMvn37XMZUXSuMQJXUnzt3rsvYpk2bXMaYgUNrDHUGi4MhQ4bQz7Lj62ljCDNRsAILKjxZCEAP7IVqrUU5zDoGqnnRarph31ddD800RGntc6r1RXe9yB2fIAiCYCtk4RMEQRBshSx8giAIgq2QhU8QBEGwFbLwCYIgCLbCkJJlKlRli+6nsrLSNA3MMcZK43grqtJHzK3KXFHe4I5jDs7IyEiXsTFjxriMJScnm6IJUM8tcyOzzzocDpcx1XzrcaKx46hCa8kyM1G1IGKY5YjWCnOgqloNMbcj21d2/TJrn1SuYebUZs5SrWXYjEIV98w5zWD7K65OQRAEQdCJLHyCIAiCrZCFTxAEQbAVsvAJgiAItkK3uUVPIpQlglnClSW8VQlnvSWhmClBtQ/MjLNr1y6XMU/27VOVF2P7xebRG/qaDRs2zGUsIiLCZSw9Pd1lLCgoyBANLJ5UJhI256r+kPdjROKdlXNSGUiYLmbO0Wo0+ynoMaexc8eTBh0WB3rKq2nFiPOOHXNVfGk1RKnKk5mFSi8bZ7HBrhOqfdBTilHu+ARBEARbIQufIAiCYCtk4RMEQRBshSx8giAIgq1wOJ1Op7sbUSVyWQKTJdlZUlJVVcMI84AKZpxhiW9mIlH1dnMXPb2ymBHH01U8tML67LF+fqzqi1Go+kgePHjQZYwdB2YoMOB00oVWQ8DFixddxoyqLsLm5tFHHzVk2z8mPz+fjpt5TbgfZiZi577KAKfH9MLMLapjxjQwIw/bpspI6A2wdUBl9NKzH3LHJwiCINgKWfgEQRAEWyELnyAIgmArZOETBEEQbIUhbYlUyeXi4mJN32fJSq2VMoxEa7KfVZpQJbPdNRDomYeKigpNY6pt6ql8wFi7di0dv3HjhsvYvn37XMb0tLcxApXxh42zxLnW1ipGoDJPaTVVsfg0ytzCtjNkyBD6WXdakKnMC2aZW5ixghmiNm3a5DJmROUWtg3VdpnBiM2Xp6+rKnMei1u2XrC4VcUQMyeqYlzXwnfy5Els2LABzc3NGD58OFavXo1evXrp2YRHcTqdSE9PR1RUFJKSkqyW0yklJSXYuXMnHA4HHnroISxfvhwjR460WpaSgoIC7NmzBw6HA+Hh4cjOzrZa0gMpLS1FWloa/WPAW1izZg2OHj2KwMBAAHcdmmaWG3OX8+fP4+2330ZDQwP8/PyQnp6Of/qnf7JalgvFxcX3uELr6+tRU1ODsrIyDBgwwEJlao4fP44tW7bAz88PgYGBXn2O7d69GwUFBejevTsiIyORkZHhFeUSVWhe+Gpra7F06VLs2bMHQ4cOxbp167B+/XrdtTM9xXfffYesrCx8/fXXiIqKslpOp1y4cAHr1q1DUVERQkJCUFZWhtTUVNNekXCXs2fP4sMPP0RJSQl69+6NtWvXYvPmzejZs6fV0pR8//33yjtSb6KiogIbN26kTXm9jcbGRiQlJWHp0qX4+c9/jrKyMmRmZtK7eauZOnVqx91OS0sLEhMTkZyc7LWLXlNTE9LS0lBSUoIhQ4bgo48+8tqF79SpU8jLy8O+ffsQGhqK4uJiZGRkYMuWLVZLU6I5x1deXo6RI0d23Dq++OKLOHTokMffW9JKYWEhEhIS8Oyzz1ot5YEEBAQgOzsbISEhAIDo6Ghcv34dzc3NFivjREdH49ixY+jduzdu376Nmpoar/7rrrGxEWlpabQItjfR3NyMb7/9Fjt27EB8fDxSU1NRXV1ttSwlX3zxBcLDw/Hzn/8cADBhwgSsWrXKYlUPJi8vD/369cOMGTOslqKktbUVTqcT9fX1AICbN2+iW7duFqvifPPNN3jyyScRGhoKAJg0aRI+//xzr71+AToWvitXrnTsGACEhoaioaEBN2/eNEWYu2RkZCA+Pt5qGZoICwvreCHd6XQiJycHTz/9NAICAqwV1gn+/v4oLS3FhAkTcPr0aUybNs1qSUoyMjIwffp0DB8+3GopnVJTU4Nx48Zh8eLF+OyzzzB69GgsWLDAa/+4vHjxIoKDg5GdnY05c+YgNTUVra2tVsvqlNraWuTn52PZsmVWS+mUnj0Xq+B+AAAgAElEQVR7IisrCzNmzMD48eNRWFiIN954w2pZlNGjR+PUqVO4fPkyAKCoqAgtLS0ez9nrQfPC19bWBofD4boBPzGGGsWtW7ewaNEiVFVVee1jjR8zceJEfPnll0hNTUVSUpJXXqALCwvRtWtXvPDCC1ZLeSDh4eHIy8tDVFQUHA4HkpKSUFVVhUuXLlktjXLnzh2UlZVh6tSp2LVrFxISErBkyRKv/kt/3759iIuLQ3h4uNVSOuX8+fPIzc3FkSNHUF5ejpSUFKSmplotixITE4NXX30Vr732GqZNmwaHw4G+ffvC39/famlKNOf4Bg4ceE+JppqaGgQGBqJHjx7K8mLM0aO1tI4Vj85YGTBWnoztl7uuzurqaqSkpCAyMhIff/wxunfvDkBduo05oLTmBFVuW/Z9dhwqKytx7do1xMTEAACef/55ZGZm4p133qGLH/vLb+LEiS5jH3zwwYOk6+bgwYNoamrClClT0NLS0vHf27dvx8MPP6x5OyxGMzMzDVQKnDt3DufOnbvHeed0OuHv7680uLBYZP349PTR1EpISAgiIyMxfvx4AHfdsDk5Oaivr1fGGItntg8s7oxwJB45cgQrVqzQ9Fmmi/VKNMNVWl5ejjFjxmDw4MEAgFmzZiEnJwcvvvgifeTJvBZszAytDQ0NePzxx5GQkADg7tqwZcsW9O3bl5ZRBLQ7/tn1U+U+1+NS1ny7Nn78eJw5c6bjAr93717ExcVp/iFBTUNDA2bPno1JkyZh06ZNHYuet3Lt2jW8/vrrqK2tBQAcOnQIjzzyiFfe8R04cACHDx9GSUkJtm/fju7du6OkpETXoucp/Pz8sGrVKvzwww8AgE8++QTDhw+/J8XgTUyYMAGXLl3C2bNnAQCnT5+Gw+FAWFiYxco4dXV1qKqqMqWOqNGMGDECp0+fxvXr1wHcdSSHhYV5ZZ7v6tWrmD17NhoaGgAA77//PiZPnkyfEHoLmu/4+vfvj5ycHCxcuBAtLS0YPHiwT7jkfIHCwkJUV1fj+PHj9xRq9tbisTExMUhJScFLL72ELl26ICQkBLm5uRg1apTV0nyaqKgorFixAq+88gpaW1sRGhqKjRs3Wi1LSXBwMHJzc5GVlYXGxkYEBARg69atXnlxBu4+qQgODvbqR3DtPPHEE0hKSsLs2bPh7++PwMBAbNu2DYWFhVZLc2HYsGFITk5GQkIC2traMHbsWGRkZFgtq1N0vccXGxtLH/15M2vWrLFawgOZP38+7VbgzcycORMzZ860WoYuwsLCvPodPuDu40Jv7ajBeOyxx7B//36rZWhi1KhRtAOItzJr1izMmjXLahmaSExMRGJiotUyNCPOFEEQBMFWGNKPTxAEQRB8BbnjEwRBEGyFqUWqmT2eWVGZ7dbdgsmdoXr1gNml2ZhZZdqYLpWFm3X/1ooqh6TVYgxw443Kcs+62GvNtale5zDzdRdWiJi9IsDi24jCz8xGr3odQTU/98N0mdm5XGXMYucO2zc9BYfdRXWtYeMsxj356pWeuq3sGLDrxokTJ+j39b4Cw15bUl0rN2/e7DKm9VURrTHfGXLHJwiCINgKWfgEQRAEWyELnyAIgmArdOf4WF5DVZaGPbPVmkdTNTA04nm6qrQXe/7NxszKl2j9fQCYM2eOy9gvf/lLl7H2vm4/xoj8KctHqrS6U2pKldcxYr5VRXRZKTI2Z2blnJiuuro6+lmWP2Wwc1GVwzFiv/TkYdi5zuZbdd7qiWeWv1XFLTsOLG9mRM5JK3qKWjBd7Puqa63eHB/btso3wPKKWr8vOT5BEARB0IksfIIgCIKtkIVPEARBsBWy8AmCIAi2wpAX2FWwxCRLnLPPqZK4RiQ2g4KC6DgzgmjVa4TZ4saNG5o/yxL6Q4YM0fQ5I9BjgGAvf2s1i5jRR66dsrIyOs7MDnpe7ncXPQYuNrfsHDHLiANwo5PKjMNMWexcZ/GhuiboeambneMq2DnNfsuT5hbV+cy0au1zalQhA7ZtlYGMnU/MJGlWwXa54xMEQRBshSx8giAIgq2QhU8QBEGwFbLwCYIgCLZCFj5BEATBVhhSskyFVicZcwNFRERo/h29qJxCrIXGkiVLXMZUbY3cRVU6iMF0MfLz813GzGxHw2AtSJi7TlX6zixULlqmTWvpOiPQ4+pkc8vcfFpbhP0U9OhlZfW0bvOpp57S/Dsq2DFjbmhAezk4Nt9mnWOqmGNzwxy0ZrqT2T6rrmnsGrpp0yaXMT2OXT3IHZ8gCIJgK2ThEwRBEGyFLHyCIAiCrZCFTxAEQbAVDqfT6dTzBWYAUSWBtW6aJWxV5YnMLGGlFa1lzAB9BgKWCFZtl80DSwQzU4OqjJC7qIxPrHwVS7zr6cGmF7bPKqMA08sML+wYqOLW3T6SqiQ/267WEmBmGQcAwOFw0PGKigqXMaaNjalKg7lrJFGdD1rPRxajqrjVEwfs91W9LSsrK13GdF7avRI2XyrDjB6zmdzxCYIgCLZCFj5BEATBVsjCJwiCINgKWfgEQRAEW2FqPz4GSySzxKxZfeSMgCXZmekH0FcpQWuSH+DzaJZpRSsq4xFLRjMDiZnHXI+5hX1Wq9FAFQfuGklUxg6mlWkwsx8f06Dqe8fOda0Vi1TGDndRGU5YPLMxFreq816PEUdP3082hyUlJS5jZvW3Mws23yrjkJ65lTs+QRAEwVbIwicIgiDYCln4BEEQBFshC58gCIJgK3SbW1iyUVW5hSW9WQKSJcLdrXTxU2AJYrYPLJmtahPE2m/oMRqoErnM7MBa57C2REbA5kVl4GBJenbMzWyXxOZcpZe1eGHVUDxpJmJGBQBYtGiRy5hWw4tRsHOVmZcAHo/svGPXGbOuCaq5ZVVmHn30UZcxplU133piXE9lIBbfTL+Z5hZ2HFX7y4xKbG7ZNufOnatf3H3oWvhOnjyJlStX4s6dOxg0aBBeeuklPPTQQ26LMIvdu3ejoKAA3bt3R2RkJDIyMixZULWwZs0aHD16tGNBiIiIMLWklLts3rwZ//M//4M+ffoAuNvTLDg42GJVnPPnzyM7Oxv19fXw8/PDypUrER0dbbUsiq/FwcmTJ7FhwwY0Nzdj+PDhWL16NXr16mW1LIovXQ+AuwvXoUOH4HA40LNnT8yePdtqSUp2796NnTt3IiAgAIMGDUJSUpLXxgGgY+Grra3F0qVLsXjxYjz88MP49NNPcfDgQcycOdNMfT+ZU6dOIS8vD/v27UNoaCiKi4uRkZGBLVu2WC2NUlFRgY0bN2LMmDFWS9HE119/jezsbIwaNapjzBsv0I2NjUhKSsKqVasQGxuL0tJSvPHGGzh69KjV0ii+FAft14Q9e/Zg6NChWLduHdavX2/q3eVPxdeuB01NTfjwww/x1ltvISQkBKWlpdi7dy969+5ttTQX2uc2MzMT/fv3x//+7/9i+/bteP31162WpkRzjq+8vBwjR47Eww8/DACIjY3Fl19+6bWFUL/55hs8+eSTCA0NBQBMmjQJn3/+OZqbmy1W5kpzczO+/fZb7NixA/Hx8UhNTUV1dbXVspQ0NzfjT3/6E3bv3o2ZM2fizTffxJUrV6yWRfniiy8QHh6O2NhYAEBcXJxXLtCA78VB+zWh/THbiy++iEOHDnnlNcGXrgcA0NraCqfTicbGRgDA7du34e/vb7EqTvvc9u/fHwDw+OOP4w9/+APu3LljsTI1mhe+K1eudAQNAAQFBaGpqQlNTU2mCHOX0aNH49SpU7h8+TIAoKioCC0tLZa/5M2oqanBuHHjsHjxYnz22WcYPXo0FixY4JUXEOCu3rFjxyIlJQWFhYWIjo5GWlqaV+q9ePEigoODsWzZMkybNg1z585Fa2ur1bIovhYH918TQkND0dDQgJs3b1qoiuNL1wMA6NmzJ2bNmoV33nkHv/71r3HixAlMmzbNalmU9rm9du0agLuPv+/cuYP6+nqLlanRvPC1tbXRViN+ft5pDI2JicGrr76K1157DdOmTYPD4UDfvn298q+m8PBw5OXlISoqCg6HA0lJSaiqqsKlS5eslkYJDw/Hu+++i8jISDgcDiQmJuLSpUteecG7c+cOysrKMH36dBQVFSExMRHJycle+Ze+r8WBL10TfOl6ANzNS//2t7/F22+/jXfeeQe/+MUv8MEHH3jlH0Htc7t+/XosXboUDocDvXr1QteuHi8MphnNygYOHIgzZ850OI0uX76MwMBA/Ou//qvSKRQUFOQy1v7I6ccY1XPtxzQ0NODxxx9HQkICgLt/TW/ZsgV9+/alTkuAu6iYW4r9lTh69OifrPXcuXM4d+5ch1vU6XSira0NV65coQ5DgLsiMzMzXcbMcEqeO3cOxcXFGDduHIC7eltbW7F582b6eINpZcfcjJJlISEhiIyM7Dg+EydOxIoVK/DDDz8oS6wxFypzoRntTG2Pg3ZdTqcTTqcTt27dov0LAe50ZPFthomj/ZrQTk1NDQIDA9GjRw9s2rSJfoe5n9n1w+jH0Z1dD9h5o4LpYg5Wd64HwN3HyI899hieeeYZAMDIkSOxf/9+PPTQQ3RB2bVrl8uYWY7u+2FzW1RUhPHjxyvPMeZOZecd+z5bQ/Si+U+z8ePH48yZMx0n1d69exEXF+e2ALO4evUqZs+ejYaGBgDA+++/j8mTJysbZFqJn58fVq1a1ZEnO3z4MCIiIrzWJenn54f/+q//wvXr1wEAZWVlCAsL88pn+hMmTMClS5dw9uxZAMDp06fhcDgQFhZmsTJX2uOgPa/36aef4h/+4R868urehi9dE3zpegAAI0aMQEVFBf7yl78AuHuO/exnP/PKuyhfm1tAxx1f//79kZOTg4ULF6KlpQWDBw/G2rVrzdTmFsOGDUNycjISEhLQ1taGsWPHIiMjw2pZlKioKKxYsQIZGRloa2vDgAEDsHTpUqtlKYmKisL06dORm5uLtrY2BAUFYd68efjv//5vq6W5EBwcjNzcXGRlZaGxsREBAQHYunUrunXrZrU0F9rj4D/+4z/Q1taGkJAQ/OY3v7FalhJfuib40vUAAJ544gnMmjULCxYsQNeuXdGnTx+sW7cOK1eutFqaC742t4DO9/hiY2MNuc30FImJiUhMTLRahiamTJni9uMRTzJu3LiOR53ezmOPPYb9+/dbLUMTU6ZM8alzzJeuCb50PQCAhISEjseH3o6vza33ZaEFQRAEwUQcTm+0CQmCIAiCScgdnyAIgmArDLEIqToja7VasxJHKhusmbDCz8x26ym7uF7YnGm1j5uJ1nllrzOY8apLO6qu5ps3b/7J21R13nZ3zvVoZbli9n2jXnXR091eq2XdG9BaZF9PAXR3Ub2Kxc4dpkvreWcUqgIBTBsbY+e/EddaueMTBEEQbIUsfIIgCIKtkIVPEARBsBWy8AmCIAi2whBziyqByRKxLJHN6lHeuHGDbtOIxKbKMMGMAuzlXG8wsrC5LSsr0/Rds8wtqnllSWtmaDKzXRCLUZURhdXFZPuQlZXlMsa6XgPuz7nKgKC1rijrWm2muUXVgV1Ve/Z+hgwZ4jKmJ76MgBlBWLd2Txae0NPrkM0Lu/6a2aFC1TGexQfTwa4JRvR7lDs+QRAEwVbIwicIgiDYCln4BEEQBFshC58gCIJgK0yt3KK16gnDTAOJSi9LqLN9YN9XJVzdrYqgSjxrNSZ40oijqsChtTIHm+uvvvqKflbvvGqtIqRCq/FGFVvuojreLO5Yg1zWqNQo9FTXYSYfrcfSLBOGSr/WY25W5RkW+6rjyJrOspgxozF1OywWVXO7aNEilzFWXYidT6p90GNykjs+QRAEwVbIwicIgiDYCln4BEEQBFshC58gCIJgK2ThEwRBEGyFIa5OlcuG9YJjzqwTJ04YIYPCXEWqckpsP5jzj5UtUrknVSV7GOy3VHOrtTyZWa5ONq+qEmDuOCqNKkfFHHIqveyzWp2LKnev6rfc5dFHH3UZY/PNHMtGERQU5Nb32T6YVVaPnU8qpyTTUFlZ6TJm1jmmx8Wq9XxizklVzOotDcbmQeXYZdtm32d6VeeiHseq3PEJgiAItkIWPkEQBMFWyMInCIIg2ApZ+ARBEARbYYi5hSUgVbAEplklfwB9pgKWINa6b0b0iGJJW1XinO0X6yNn5tzeD+tnCPASWiqD0f2ojp/e0ktsO6yfngq2D8z8YEQc6IFpYGYxFgeqcnB6DUVMg8qcwn6Tla8yqw8mM5upDGhMKzO2mdUPkF0PVCYlraXyzOy9FxER4TKmMt1oPZbMHKPHMKhC7vgEQRAEWyELnyAIgmArZOETBEEQbIUsfIIgCIKtcDidTqe7G1Eld5kxhJkMWGJWj2FGL6ptq8wZ98MSzHp6uxkBS1KzChrMOKC1z5iZsJhhseFuP8POUB0zlqTftGmTy5iZMWo07BxTGR309NfTCzOHMG3eMN/M3MKqzGRmZrqMGWFyYr+vMquxWGYGEj1ViYyYb5WJhelg1wQ9Pf70xK3c8QmCIAi2QhY+QRAEwVbIwicIgiDYCln4BEEQBFuhu3KLngQiMyYwAwN7E9/MRLbK3MESsay6h6erczC0VmDwtOmGwY4lS2SbaWRh6KkAobdSjNHoSehrNTCYOd+quZ07d66m73s6FhisBRHDrHOMzYHKLMLik5mG2LVLq6nvp6A6b9i+sWvCmTNnXMby8/PdlaVv4Tt+/DhycnLgcDjQs2dPzJ49G8HBwW6LMJPS0lKkpaWhoqLCaikPxOl0Ij09HVFRUUhKSrJajpLi4uJ7gq++vh41NTUoKyvDgAEDLFTmSmdavZGCggLs2bMHDocD4eHhyM7ORv/+/a2WpWTNmjU4evRoR0m3iIgIr3ANq/CVcwy4+8fKhg0b0NzcjOHDh2P16tVWS1LCtPbq1ctqWUo0P+psampCWloaUlJS8NZbb2HUqFHYu3evmdrc5vvvv8fatWutlqGJ7777DnPmzMGxY8eslvJApk6dipKSEpSUlODAgQMIDg7GW2+95XWLHuBbWs+ePYsPP/wQe/fuxeHDhzF06FBT/xo3goqKCmzcuLFjjr150fOlc6y2thZLly7F1q1bcezYMYSHh2P9+vVWy6L4ktZ2NC98ra2tcDqdaGxsBADcvn0b/v7+pglzl8bGRqSlpSE9Pd1qKZooLCxEQkICnn32Waul6CIvLw/9+vXDjBkzrJbyQLxda3R0NI4dO4bevXvj9u3bqKmpMa27txE0Nzfj22+/xY4dOxAfH4/U1FRUV1dbLUuJL51j5eXlGDlyZMfjvxdffBGHDh2yVpQClVYDXhE3Dc2POnv27ImsrCwsX74cPXv2RFtbG37961+bqc0tMjIyMH36dAwfPtxqKZrIyMgAAHzxxRcWK9FObW0t8vPzUVRUZLWUB+IrWv39/VFaWorly5cjICAACxcutFqSkpqaGowbNw6LFy/GI488gp07d2LBggU4ePCg1dIovnSOXblyBaGhoR3/Dg0NRUNDg4WK1Ki03rx500JVnaP5ju/8+fPIzc3F22+/jXfeeQe/+MUv8MEHH3jlql5YWIiuXbvihRdesFrK3zX79u1DXFwcwsPDrZbyQHxJ68SJE/Hll18iNTUVSUlJaGtrs1oSJTw8HHl5eYiKioLD4UBSUhKqqqpw6dIlq6X5PG1tbXA4HFbL0IRKq5+f9740oPmOr7y8HGPGjMEzzzwDABg5ciT279+PiIgIpQOLOXqYc8fovMDBgwfR1NSEKVOmoKWlpeO/t2/fjocfflj5Pa1OSU/2uFOhVauZ7rgjR45gxYoVD/wcc71p7R9mFEyrqtcf62voiUeOlZWVuHbtGmJiYgAAzz//PDIzM1FXV6c8R7SWfmLOWnfdyefOncO5c+fuOZZOpxP+/v7KbbNyf8wB6g3n2OjRo13GmH4ztA4cOPAeR2NNTQ0CAwPxzjvv0M+z+WbHnMWRqneiVlRae/TooYxb5jJm1zRWDs4Ih7XmJXnEiBE4ffo0/vKXvwAAysrK8LOf/cwrcxAHDhzA4cOHUVJSgu3bt6N79+4oKSnpdNET9FFXV4eqqipau9Db8BWt165dw+uvv47a2loAwKFDh/DII4/QGqzegJ+fH1atWoUffvgBAPDJJ59g+PDh9zz2En4a48ePx5kzZzr+aNy7dy/i4uKsFaXAl7S2o/mO74knnkBSUhIWLFiArl27ok+fPli3bp2Z2gQvprKyEsHBwV5tcGrHV7TGxMQgJSUFL730Erp06YKQkBDk5uZaLUtJVFQUVqxYgVdeeQWtra0IDQ3Fxo0brZb1d0H//v2Rk5ODhQsXoqWlBYMHD8batWvpHb7VqLR6M7re45s1axYmT55slhZTCAsL84l3+NpZs2aN1RI0MWrUKBw/ftxqGZrwJa0zZ87EzJkzrZahmSlTprj9qMzT+Mo5Fhsbi9jYWKtlaMKXtAJSskwQBEGwGYb04xMEQRAEX0Hu+ARBEARbobtItR5Yt2XWEZzZr1VFblXd3o1Aa8djZsXXU/jaXU0AtyprrT+pKvLqrk1YTyFlVvybvV5gRf6I2aq1vhaiekXC3ddKVIWQWXwy/bt27XIZ85bcnNZ9UMWXWc5ypoG9NsCOjSoOzIKdu1qLlRs1f2y+VM0G2PywOGDrgBF65Y5PEARBsBWy8AmCIAi2QhY+QRAEwVYY4upU5be0ltFhz3FVOT4zSxmx3B17nszyJSdOnKDbdFevKu/Gnqez31qyZInLmCq3425eQvU8n7XWYaWIWE7C07kSgM85m289pdjcLQ+migMWi4z2fnk/RpU3NLMaE5sHlu9lelX5brPy/iwvyxqjMowwy7OY03M9YLFoZoNvd89f9n09uV49yB2fIAiCYCtk4RMEQRBshSx8giAIgq2QhU8QBEGwFYa8wK5KhmtNVrIEqJl95FQwbcxkw/SqjALuojL5MJgGZjwyy7zw1FNP0XGtLwKzY66aVzMLGTAdzBRgVoyy80ZlYmG9Axns+yqziBEGMnfNOGxuzTzmDHaebNq0yWXM6H6i7bDzhhUFAUALRJtpZGGwY6Y6R9h+sGsdmwNVL1I91zW54xMEQRBshSx8giAIgq2QhU8QBEGwFbLwCYIgCLZCFj5BEATBVhji6nS3jI4nnYedwXSonG/3Y4TjjDmdVC2EmFuKzXdlZaXLmFluL1UpNFaejJUdMssZqxc2Pyw2mF4j5pYdMxVaXb9mzjfbtlb3pgqVc8+TsP1i57lZ55Oe42PF9dId2HWNHXN2/ZW2RIIgCIKgE1n4BEEQBFshC58gCIJgK2ThEwRBEGyFIeYWVSKamV5YOSQze+zpgSVStRodjNgH1tNPVaJINa4FlSHCrNJLbG5YeTNmgjGqTBUzKqj6erFxrb3GPG0yYMeSnXdsHs00kLDSXgA3ZbFY8GS5LdW5xPbBk+YWPbCYZWUBveX6y+bMiD57WpE7PkEQBMFWyMInCIIg2ApZ+ARBEARbIQufIAiCYCt0m1tYwjQrK4t+dvTo0S5jzBBgJixhyqrHAEBdXZ3L2KJFi1zGVJVq3IXNrUorm8fNmze7jLEKCZ7UD3ADxpAhQ1zGHn30UYMV/X9YFQxV3DLYPJplCmC91QIDA+lnmSFJq5HFKCOOHsOEVkONWVV82HwtWbJE8/dVlZSshl272DWCxbxqn8y6TgA8PpjxiV1T9PQoVSF3fIIgCIKtkIVPEARBsBWy8AmCIAi2QhY+QRAEwVY4nE6nU88XWJUDZgABeHsV1rpGa4LeKFgSFQDOnDnjMsZMBSzpq0oEq37LXZjphVUX8WSrH4fDQcdZkp3FDEtam1lVQjU3WpP6LPGuilt341llctJawYfFsRWtf9hvBgUFuYyxKj4q85QemNlNZbhjn2XXCHZNU1VzcTeeVdWVmEGHVZ5h55gqDoy4dqjaurHfZNpYe6sbN27Qbeoxa+lydZaUlHRMZkBAAP7t3/4N4eHhejbhUUpKSrBz5044HA489NBDWL58OUaOHGm1LBeKi4vvcVbV19ejpqYGZWVlGDBggIXK1Bw/fhxbtmyBn58fAgMDkZ2dbbUkJb4SB8Ddi+2GDRvQ3NyM4cOHY/Xq1ejVq5fVspQ4nU6kp6cjKioKSUlJVsvplJKSEmzZsgXA3evX9OnTTf0D213Onz+P7Oxs1NfXw8/PDytXrrRakpKCggLs2bMHDocD4eHhyM7ORv/+/a2WpUTzo84LFy5g3bp1SEpKwpIlS/D0009j9+7dZmpzi3a9O3bsQElJCV555RWkpqZaLYsydepUlJSUoKSkBAcOHEBwcDDeeustr130mpqakJaWhvfeew8lJSV4+umnvXbh86U4qK2txdKlS7F161YcO3YM4eHhWL9+vdWylHz33XeYM2cOjh07ZrWUB9IeBwsXLsRbb72FX/ziF/jP//xPq2UpaWxsRFJSEubNm4fi4mIsWLAAb7zxhtWyKGfPnsWHH36IvXv34vDhwxg6dCh9tcqb0LzwBQQEIDs7G3369AEAhIeHo76+Hnfu3DFNnDu06w0JCQEAREdH4/r162hubrZYWefk5eWhX79+mDFjhtVSlLS2tsLpdKK+vh4AcPPmTXTr1s1iVRxfioPy8nKMHDmy4y7kxRdfxKFDh6AzG+ExCgsLkZCQgGeffdZqKQ+kPQ7aH/kOGTIEf/vb37z2+vXFF18gPDy8453OuLg404rIu0t0dDSOHTuG3r174/bt26ipqfH6jvCaH3WGhYUhLCwMJSUlcDqdOHToEEaMGIGuXQ1p8GA47XqBu49jcnJy8PTTTyMgIMBiZWpqa2uRn5+PoqIiq6V0Ss+ePZGVlYUZM2agb9++aGtrw549e/Dee+9ZLc0FX4qDK1euIDQ0tOPfoaGhaGhowM2bNy1UpSYjIwPA3Yu0t9MeBydPnoTT6cT+/fsxevRor71+Xbx4EcHBwVV//5YAACAASURBVFi2bBnOnTuHPn36IC0tzWpZSvz9/VFaWorly5cjICAACxcutFpSp+h2dTY3N6OgoAB/+ctf8MILL5ihyVBu3bqFRYsWoaqqymsfx7Wzb98+xMXFeXXeFLibe8jNzcWRI0dQXl6OlJQUr3182I4vxEFbWxs1CPn5ifnaKG7fvo3t27fj2rVrmD17ttVylNy5cwdlZWWYPn06ioqKkJiYiOTkZLS2tlotTcnEiRPx5ZdfIjU1FUlJSWhra7NakhJdf+5UV1dj9+7diIyMREFBAbp37w6Au5oA7tJhY8yxpipLo8clWV1djZSUFERGRuLjjz/u0KtyGml1fLExVZJcj94jR45gxYoVD9QEcDefp8rBlZeXY8yYMRg8eDAAYNasWcjJyUFubi569Ojh8nl2fFlZLrMcsKo4UB0zNo9aewqqjoEWE8XAgQPvcQ3W1NQgMDAQPXr00PWYi7nxvOUxGXsExmLBjN5s1dXVyM3NRWRkJPLz8zviQI/TUmsfOXcf9YWEhCAyMrKj7OPEiROxYsUKTJ06FZGRkZq2odUFy5yTeqisrMS1a9cQExMDAHj++eeRmZmJuro6pUNaq4N+zpw5LmNGPEbV/KdkQ0MDZs+ejUmTJmHTpk0dQeOt+Jreuro6VFVVmVqv0ihGjBiB06dP4/r16wCA0tJShIWF0UXPanwpDsaPH48zZ850LFx79+5FXFyctaL+TvClOACACRMm4NKlSzh79iwA4PTp03A4HB2P7b2Ja9eu4fXXX0dtbS0A4NChQ3jkkUfoayreguY7vsLCQlRXV+P48eM4fvx4x/hHH33klTvoa3orKysRHBwMf39/q6U8kCeeeAJJSUmYPXs2/P39ERgYiG3btnllrseX4qB///7IycnBwoUL0dLSgsGDB2Pt2rVWy/q7wJfiAACCg4ORm5uLrKwsNDY2IiAgAFu3bvVKE1lMTAxSUlLw0ksvoUuXLggJCUFubq7VsjpF88I3f/58zJ8/30wthuJrekeNGnXPCentzJo1C7NmzbpnzBsXPl+Lg9jYWProz5tZs2aN1RIeiK/FAQA89thj2L9/v9UyNDFz5kzMnDnTahmakay5IAiCYCt0lywTBEEQBF9G7vgEQRAEW2HI25sqyyqzdjMrqqeLE6telWCWb2a79WRXc5UNnhUAZ13NmaXZCK3slRA9jlSmlVnFVVrNrAzB4mPu3LkuYydOnHAZMzNuGWzOtBYAtgJ2PJleT72aA6gLfbNC6p4s+q4HVVHs+/H0ay2quNNaLFvPNUEPcscnCIIg2ApZ+ARBEARbIQufIAiCYCtk4RMEQRBshSGvM6jq6mmtGcgMJBcvXqTb1Ns4Uo8JgxkuWMK1rq7OZcyIrsAMVTKa7ZfWmnsVFRV0XE+tTDYvejpks+Q2m1dmIAGMMZGoOk+zbbNYZmNmmW7c7byt1fxgFKrfY33aPGkWY6hiiZ0PVtc8VdUZZtc0Zs4xU79WUxjAtbF9KysrcxkzYm2QOz5BEATBVsjCJwiCINgKWfgEQRAEWyELnyAIgmArDKncokoOs2QlM7KwRKdeE4sKlqBWVYVgDXWZYSMrK8tlTGWUcNfsoDIJsGoTWs0tRswt2y9V4pyNMyOLmc1p2fHR0yRTaxUis1BVwGhvVPpjPGkMUeFLelWGEW80srCmzgBv2Mr0M0OWUdda1TVQK2x/WbwYoVfu+ARBEARbIQufIAiCYCtk4RMEQRBshSx8giAIgq2QhU8QBEGwFYa4OlVodd8Y5dzTCnNvuou7jia9MLcTIzMz02XMk25EQHsPM+YENEorc7ip+rAxhxyLGeZGVDmc3XUuquaQuY49fXwZKg2ePtfvR2sJQsB6rSxmWR9OAPjlL3+p6fssXlSxpTeOmANdVc5Sa8lCs5y1cscnCIIg2ApZ+ARBEARbIQufIAiCYCtk4RMEQRBshSH9+PTAkvwsuapKiuqFlcFRGRBUSW4tsLJrgGfLHrH9Ysl81dyaZYrQegxY4t2oPnLs91ivL4Abgtg8st5yrOwaoC+e2Wefeuop+tnAwECXMWbKYKWujJpbNjcqYxvTxo4Nu04YUaqKaQ0KCqKfZX3fWOk6rfukF3ZdVB0zFjPsesZMcZ6+HgB8ftjxVZW+cxe54xMEQRBshSx8giAIgq2QhU8QBEGwFbLwCYIgCLbC4+YWrcnlEydO0O/rTRqz6hzMvKDSxiolaO3bB3i2+oNWU8SmTZvo940yO2iB/RZLZBtVEYcZBVTHxh2TkxFzy7RGRETQzzIzDYtFZrJSmReMMBSozlOVoUgLrKIOoG/fmNHq0Ucf/cmaVHja7Ma2u2TJEpexiooKlzEzr1GqXodsztk13wiTEEPu+ARBEARbIQufIAiCYCtk4RMEQRBshSx8giAIgq3Q1ZaooKAABQUFcDgcGDRoEJYtW4Z+/fopjR3MWHHjxg1Nv6VKimpNdhYXFyM/P7/j3/X19aipqUFZWZmubTNzhRntcwoKCrBnzx44HA6Eh4cjOzsb/fv3V7bOYYlgVlXCLPLy8vDpp5/eEwsrV67U/P1du3Zp+pzqWOlNyA8dOhSlpaVIS0vrSPCrjDNaTULM5OSuQej8+fPIzs5GfX09/Pz8sHLlSkRHRysNWVrbu7CqGEbEi0ovqxQDcHOLqtrN/ahiRmt7qPPnz2PDhg0uWln1GxVsztgxYFV9AP3mlvtjVgW7/mit6mMEu3fvRkFBAbp3747IyEhkZGSgb9++uqrtGFGZRyua7/jOnj2LDz/8EDt27MCePXsQHh6ODz74wExtbjF16lSUlJSgpKQEBw4cQHBwMN566y0MGDDAamkutM/t3r17cfjwYQwdOlR54ngDZ8+eRWFhoc/EAnDXKbl27VqrZXRKY2MjkpKSMG/ePBQXF2PBggV44403rJalxJf0+pLWdnwhZgHg1KlTyMvLw65du1BSUoIJEyYgIyPDalmdonnhi46OxrFjx9CrVy/cvn0b165d0/WXkpXk5eWhX79+mDFjhtVSKO1z27t3b9y+fRs1NTVe0UxURXR0NA4cOOAzsdDY2Ii0tDSkp6dbLaVTvvjiC4SHh3fcAcXFxXm01qtefEmvL2kFfCdmAeCbb77Bk08+idDQUADApEmT8Pnnn6O5udliZWp05fj8/f1RVlaG+Ph4fPXVV3juuefM0mUYtbW1yM/Px7Jly6yW0in+/v4oLS3FhAkTcPr0aUybNs1qSZ3StWtXn4mFjIwMTJ8+HcOHD7daSqdcvHgRwcHBWLZsGaZNm4a5c+eitbXVallKfEmvL2kFfCdmgbuFr0+dOoXLly8DAIqKitDS0mLYO7hmoNvcEhsbi9/97neYN28eFi1ahLa2NjN0Gca+ffsQFxeH8PBwq6U8kIkTJ+LLL79EamoqkpKSvH5u748FD9dC0ERhYSG6du2KF154wWopD+TOnTsoKyvD9OnTUVRUhMTERCQnJ3vtX86+pNeXtPpSzAJATEwMXn31Vbz22muYNm0aHA4H+vbtC39/f6ulKdG88FVWVuL3v/99x7/j4+Nx5coV1NfXmyLMKI4cOeL1d0/3z+3zzz+P6upqtyqImEllZeU9ppP2WLhz546FqjgHDx7EH//4R0yZMgXJycloamrClClTUFNTY7U0F0JCQhAZGdnROmbixIlobW3FDz/8YLEyji/p9SWtvhSzANDQ0IDHH38cBw8eRFFRESZOnAjA3LZG7qLZ1Xnt2jW8/vrrKC4uRr9+/VBcXIxHHnkEQ4YMUbrDmCOPjTF3nMoVpoe6ujpUVVW5lMdR9Z9ijjNWgsroA3r/3B46dAiPPPIIgoKClG6+M2fOaNo2K/PEXHB6uHbtGpYvX45t27YhMDAQx48fx5AhQ/DNN9/QzzOtzMnHSiy560I7cOBAx39funQJ8fHxSqdsOyon6f2o3Mw/lQkTJmDt2rU4e/YsoqOjcfr0aTgcDoSFhSl/iznhWMyyMmjunmOd6VW5W5kO5opkx111ndHi9O5Mq2q77Dxh7l4Wy6rSdVr4KTHL4oD94cy2w66/erh69SpefvllHDlyBL169cL777+PyZMnw+FwKOeW/aYnXZ2aF76YmBikpKTgpZdeQpcuXRASEoLc3FwztblNZWUlgoODvfqWG/C9uY2JicGMGTOQlpaGLl26oH///nj77beRkpJitTSfJjg4GLm5ucjKykJjYyMCAgKwdetWdOvWzWppFF/S60tafY1hw4YhOTkZCQkJaGtrw9ixY73e1anrPb6ZM2di5syZZmkxnFGjRuH48eNWy9CEr81tfHw84uPjrZahi7CwsAe+D2U1jz32GPbv32+1DM34kl5f0tqOL8QsACQmJiIxMdFqGZqRyi2CIAiCrZCFTxAEQbAVHu/HJwiCIAhWInd8giAIgq3QZW4xAmZZZdZno7qBs+oBKvuzni7d98Os+ID7VmFV9QO2D0yrEd20GUyXyh7PPsvKRZnVbVmFnlcl2L4xu7snLdkq2LnDXuHR+trGg2DbqayspJ9lncnZ60FsH9x9DccIWBywuXXn1YvOUM0Bu3axWDTreqBC9eoY2w89r7C4i9zxCYIgCLZCFj5BEATBVsjCJwiCINgKU12d7JktK1/Fnvsb1TJEa1NRAMryYPfDnp0bkX9g+6zKHWqFlU4yIn+qZ161wl7UNapxJivV5G7JLlaqSpXTMAuW24mIiND0XVVTaL0l+Vg8qfpJsjlj5xPbL0/PLctd3l/+UIWqua6efXDn91WwBtZG5daZXj3bZiXWzFob5I5PEARBsBWy8AmCIAi2QhY+QRAEwVbIwicIgiDYCkNeYFcZO7T2jDPzpV+WcG1vRnk/RvdX04vqZXUG2wdmBGH7ZFRxAKNhSWujXrhlZoPAwED6WTaPnjZWaEWrWYzNo1F9JfUYkNgxZvHoDU1M2cvTQ4YMcRlTvazvLizmVDGr9SV6NtdGFTJgv6e6tmvt1crMMarrtJ6YkTs+QRAEwVbIwicIgiDYCln4BEEQBFshC58gCIJgK2ThEwRBEGyFblcnc2Xt2rWLfpaVAMvKynIZc7d0VGcwpyQrhwRwdxr7rDc4JbW262CfU7m49LjzmNsqPz+ffnbu3LkuY8wdx+LIKFcnc3yp9ldrGyXmZva0G1Fr2yuz2rsA/PxVlZVi42VlZS5jqljyJKw8GLsesLg1ooQhi0NVzLJxrW3KVG5yI2JZzzaYXnZdVcWynjmXOz5BEATBVsjCJwiCINgKWfgEQRAEWyELnyAIgmArdJtbWAJR1f9L1e/rfli5HSOSwwBPjqrK6AQFBbmMsR5xWksB6YUl01Ulihhsv/SU33K3953qmGk9lg6Hw2VMpdWIHmKqbTADFuuLyOLAG3rGzZkzx2XMzHJ8eoxDzAjC9Bp1/t8PM3KoDFTsWLK+jqx8oFn63YVdp1RGJKtLOKpQmRP1IHd8giAIgq2QhU8QBEGwFbLwCYIgCLZCFj5BEATBVug2t7BEtqp6hDf0MGN69SSeN23apGmbRsB6xqlgc8vMGqwqhiqZbTXMJKCqMmOEuUWVvGfbZkaWzZs3u4wZURWHHR9mrlHBzkczKwsxw4iZlWLcgR1zdhxVsIpDZl3nmNnN3Xk1s9ekHr0sZjxZ9Uju+ARBEARbIQufIAiCYCtk4RMEQRBshSx8giAIgq3QbW7Rg6pCitWo3vxn7VVYElZlYHAXltxVmTj0VKS5H3crtAB8XlTtTdg4S6h7cq5VvwcAdXV1LmMsSc+q6hgR8+zYqgwIbH5YdRFmmFHFlt74YHHL5hDgBi4z21Hdj55WUkxDZWWlyxgzzBhhIGMmpUWLFtHPMg1sjO2TUddpZk7T0wKO6WDxbcTc6l74nE4n0tPTERUVhaSkJLcFmMmaNWtw9OjRjgtURESE1zoaT548iQ0bNqC5uRnDhw/H6tWr0atXL6tlKdm3bx/279+Pbt26YejQoUhLS7NakhJfioOSkhLs3LkTDocDDz30EJYvX46RI0daLUvJ8ePHsWXLFvj5+SEwMBDZ2dkYPHiw1bIoJSUleO+99+BwONCtWze8/PLLiIyMtFqWEnZN8FZOnjyJNWvWoKWlBREREViyZAl69uxptSwluha+7777DllZWfj6668RFRVllibDqKiowMaNGzFmzBirpXRKbW0tli5dij179mDo0KFYt24d1q9f77W18k6dOoWPP/4YO3fuxMMPP4wjR44gJycH6enpVkuj+EocXLhwAevWrUNRURFCQkJQVlaG1NRUr3gtiNHU1IS0tDSUlJRgyJAh+Oijj5CdnY3t27dbLc2F9rn9zW9+g6CgIFRUVGDDhg3Ytm2b1dIoqmuCN9Kudf369Rg0aBB27NiBDz/8EKmpqVZLU6Irx1dYWIiEhAQ8++yzZukxjObmZnz77bfYsWMH4uPjkZqaiurqaqtlUcrLyzFy5MiOW/0XX3wRhw4dgtPptFaYgm+++QaPP/44Hn74YQDAU089hfLycrS0tFiszBVfioOAgABkZ2cjJCQEABAdHY3r16+jubnZYmWc1tZWOJ1O1NfXAwBu3ryJbt26WayK0z637YXohw0bhr/+9a+4c+eOxco4qmuCN9KuddCgQQCA5557Dp9//rnXXr8AnQtfRkYG4uPjzdJiKDU1NRg3bhwWL16Mzz77DKNHj8aCBQu88mBcuXIFoaGhHf8ODQ1FQ0MDbt68aaEqNaNHj8bvf/97/PnPfwYAHD58GC0tLfjb3/5msTJXfCkOwsLCOvJuTqcTOTk5ePrppxEQEGCtMAU9e/ZEVlYWZsyYgfHjx6OwsBBvvPGG1bIo98/txx9/jJiYGHTtaqrN4SejuiZ4I/drDQ4Oxq1bt3Dr1i0LVXXO362rMzw8HHl5eYiKioLD4UBSUhKqqqpw6dIlq6W50NbWRlvy+Pl55+GJiYnBvHnz8Oabb2LOnDlwOBzo06cP/P39rZbmgi/FQTu3bt3CokWLUFVVhezsbKvlKDl//jxyc3Nx5MgRlJeXIyUlBampqV75R0U7TU1N2LRpE65cuYL58+dbLUeJ6prgjai0dunSxQI12vC4q5O5uphjzt1+VufOncO5c+c6NDidTrS2tuJPf/qT0pTDXG7MBGF0aZ2BAwfizJkzHf+uqalBYGAgevTooXS3sbllLsXMzEyjZHbQ0NCAyMhIbNmyBQBw/fp1OJ1OpKam0hOAlU1jpZ/YPrlbaqs9Dn7s2HU6nfD391dum7kMGfn5+S5j7sZGdXU1UlJSEBkZiY8//hjdu3cHoK9UFdsvli9WnWNajT/l5eUYM2ZMh5ll1qxZyMnJwY0bN2gfS0B7qTnmTFWVRtRKdXU1Vq9ejcjISGzfvr1jblUuVjaPbM70lK7Tmq9VXRNmzpxJP8/ig+2XuyUcGe1a28/fy5cvIzAwEP/4j/+oPJe0Oui1HgO9eOcthQH4+flh1apVuHr1KgDgd7/7HQYPHoz+/ftbrMyV8ePH48yZMx3W37179yIuLs5aUZ1w9epV/PrXv+54FLtnzx78y7/8i1f+hdoeBz/8v/buP6aq8o8D+PsCF91c2sSroqBOpy5jNgvbpIJM+7FvMZhJMAGZXaeWGdPJYgxRGoasLVtKP8AkFKIJKncxJ0IWm7YabbZFf7hmiJmOrukYOBQUvn80WXU/D57TPeeeeznv11/uDK+fe3jOebz3eZ/P89tvAIDPP/8cCxcu/MdXM8Gir68P2dnZeO6557B3796RG3OwWrRoEdrb23Ht2jUAQGtrK2JiYjB58mSLK/MVauc2lO4JoVTrPcH5BbcBFixYgMLCQpSVlWFoaAhRUVHKZ2CsFhUVhdLSUrz55psYHBzErFmzUFZWZnVZSnPnzsUrr7yC3NxcDA8P4+GHH8bmzZvxww8/WF2aj3vj4LXXXsPdu3cxffp0vPfee1aXJaqtrcWVK1fQ0tKClpaWkeOfffbZSCgjmCxbtgxutxvZ2dlwOp2YNGlS0KYkQ+3cqu4JZj3f6I9Qu38B/3Hi27Nnj9F1mCIlJUX8Si0YJSUl6dqdwWopKSl+f/UUKKFS68aNG4N63UmSmZmJzMxMq8u4r1A8t6F0TwilWoEx/FUnERGRxDEczBEsIiIig/ETHxER2Yqp4RYpnqo1YquK/RrxKIEqaixFbKWmtNK6oaoZq1mkSK8UaZbOoxFNqqX3K50/PT8rvScjdloH5LGoem2pXmnMBEMTdul9SWENaWyYue6puh6kOqRHLaRza+Y9QSJF6aVHF77++mufY0aNW62ka0caG/7u4K6X6l7z90c17pGavkv1GnFu+YmPiIhshRMfERHZCic+IiKyFVNTnVrXHySqlkdGrE/5+xrS99OdnZ3iz/q7DqRqH7V161afY9KaTSC/05faTAHyd/fS+onWtTVA/3mVHvzV0w5NWkMJhj39pHMurZ8Gemyofj/Scel61NPGUM/2XdI9SfX3pfU8abNVqVaz1n9V18OSJUt8juXk5PgcC/QD8KprTFqXlc6jdK81Ym7gJz4iIrIVTnxERGQrnPiIiMhWOPEREZGt6H6AXVpMl/YlA7TvPSUxIsSioudBWK0hDLMWs1WL0VJgxOrO7XoeiJbOl7SQrXoQWu/5lkIBqoV36d/0Zyybae/evVaXIFKdL62/N1WIw1/SfUVqUgHIjSqk4FAgGxnoCSRZfT8A9AXAtL431dhiuIWIiEiBEx8REdkKJz4iIrIVTnxERGQrnPiIiMhWdKc6pTShKmXT09Pzn1/TTKoWRVKSTDomvS9VOyV/k1WqVKO0NYdZ27OYQUoHJyUl+RwzanuX5cuX+xyTUnuAnPYM5LmVknCqxFtbW5um1wz0Njn+Jh2l1mJ6X1N6DemY6v4jtSyTUp3Sa5rVzk51r1WN5WAlnTMp1S3dE/S0GlThJz4iIrIVTnxERGQrnPiIiMhWOPEREZGt6A63SIvk0kIlIIdIiouLNf2cUaTFYGnRWg+pNZcRC64SVUBICr1I59HqoIaKtK+ZmXVJvzNVWywpMKJqy2cGqfWS6hqTSPWb2QJQ656A/tK6l+c90niqrq72OaaqVet7COT1pAq7SW3XpLqk0I0qmGcmqTYpZGRWOzh+4iMiIlvhxEdERLbCiY+IiGyFEx8REdmKY3h4eNisF5cWTaXF5XPnzvkcs2I/Pqk7hnRM+vtmLcKqFs796Yqj6ioRyEVuKYgjnWuj9mWTAhg5OTma/74UKgiGkJAUXpLCW52dnT7HjBqz0rmRunCo6pC6G0lhHn/3+FNRBUakcIv0vm7cuOFzzKyxoerAIwWapK4n0vUUDPcDQL4nSLXpCXqp8BMfERHZCic+IiKyFU58RERkK5z4iIjIVnR3btFD66KztOBqZrhFVZe0yC4t8JoVZJGoukdIISFpaxKpo4OqU460cK56r9ICs2rrHCk8IJ1rM8+rFEBQBYSkQJC/XTxU58ZfRiz0+0v6vekZN9J4lMa3WeND9bpa/71AhpxU41AKt0j1az3/gDHhFlU4TWvIRrpGVWEcPd2zdE98w8PDyM/Px4IFC+B2u/X+9YBpbGz8R5up3t5edHd3a96/LNDOnz+PkpIS9Pb2IiwsDG+//Tbi4uKsLkupvr4eR48ehcPhwMyZM1FQUGB1SUoejweffvopAMDpdOLZZ59FdHS0xVWpjYVrbMqUKRZWNrrW1lbk5eWJafJgIt0TglVNTQ3q6urgcDgQGxuLkpISREVFWV2Wkq6vOi9cuICcnBw0NzebVY9hUlNT4fF44PF40NDQAJfLhR07dgTlBdnf3w+3243169ejsbERr7/+OrZv3251WUodHR2ora3FgQMHUFdXh9jYWHzyySdWlyX69ddf8e677yI9PR1utxsJCQk4duyY1WUp8Roz18WLF1FWVmZ1GfcVSveEjo4OHDx4EF988QWampowZ84cv/shm03XJ77a2lqkpaVhxowZZtVjisrKSkyePBkZGRlWlyI6e/YsYmNjR567WbFiBWJiYiyuSi0uLg4NDQ2IiIjA7du34fV6g3ZMREZGoqSkZOTr1ujoaPT19eHu3bvWFqbAa8w8/f39yMvLQ35+ftBOIveo7gknT560uDJfcXFxaG5uhtPpxO3bt9Hd3R3U9y9A5ye+oqIiJCcnm1WLKa5fv46qqqqg/iqus7MTLpcLBQUFWLVqFdatWxe0N+Z7IiIi0NbWhuTkZPz444946aWXrC5JFBMTM7J2OTw8jK+++grz589HeHi4tYUp8BozT1FREdLT07Fw4UKrS7mvULsnOJ1OtLa2IjExEe3t7Vi1apXVJY1qzKc6jxw5ghUrViA2NtbqUpTu3LmDtrY2pKen49ixY8jKysKGDRswMDBgdWmjSkpKwqlTp7B+/Xrk5ubCxCZAfhsYGEBjYyNu3LiB//3vf1aXM6aEwjVWW1uLiIgIrF692upSNFHdE4J58lu5ciW+//57bNmyBW63G0NDQ1aXpGRqqlNKBUnpNimNo2rNozfZdeLECRQWFv7jmKpFkfTaZu4VeM/UqVMxb968kT3qVq5cicLCQvz222/KBJOUJJOSkhJVYlbrue3q6sJPP/00Er556qmnUFZWhqqqKoSF+f5fSjrfUg1a69frypUr8Hg8mDNnDnbs2IHx48cD0JdC1RqKktpEmUm6dqTEnNRqy6iUpHSNqUj3BOmYtH+iP44fP45bt24hJSUFg4ODI3+uqKjAtGnTDP23jKC6J6SmpmLevHk+Py+NWa2tFf3dO7Grqwterxfx8fEAgJdffhk7d+5ET0+P8j6uteWiNA6MSJuO6U98PT09uHTpEpYsWWJ1KaNKTEzE5cuX0dHRAQBob2+Hw+EI2u/JvV4vSktLRwbv6dOnMXv2bHHSs1pfXx+ys7OxfPly7N69e2TSI2OEyjXW0NCApqYmeDweVFRUYPz48fB4PEE56QGhdU/wKxipyQAACxFJREFUer3Ytm0brl+/DgD48ssvMX/+fN0bBweSqZ/4rNbV1QWXywWn02l1KaNyuVwoLy9HcXEx+vv7ERkZiX379mHcuHHo7++3ujwf8fHxyMjIQF5eHsLDwxEVFYVdu3YhPz/f6tJ81NbW4sqVK/jmm2/+8T/g8vJy64oaQ0LlGgs1o90Tgk18fDw2bdqEtWvXIjw8HFOnTg366+s/TXx79uwxug5TLF68GC0tLVaXocnSpUtRX19vdRmaJScnh0QIY+PGjdi4cWNQPOitB68x88TExAT9M3xAaN0T1qxZgzVr1lhdhmbB990UERGRiUzdj4+IiCjY8BMfERHZiqnhFmldRYrOSpFXVcNRvQ1hpUivKg4rNXSWSJF1VTTe3wa2qvMgvS/pfEutg4yOit+P9DuXdkSXzqGZtaoa6ErnXHqcQdrB3axHMlS0ntudO3f6HDPqUR09jY+l8ai1KXigz600PqS6pJ8zonG11seAAO2PB9x7POLvVPcuIx53Ua2ta21srrpG/cVPfEREZCuc+IiIyFY48RERka1w4iMiIlsxNdwiLUxKIQHpmJ7ddEejZ3do6d+UemVK9aoWiPX0lZMCK6p9raRghdbF+EA/wRLIHapVpKCAqkehND6kQJOq56sZVMEOKcgiBRj87cc4Gmnsq8atFLKRxsfWrVt9jqnuCarAh7+ka9esXeAl0nnRM2alMSP1bFWNLTP7FEthHKk2aXwbEXjjJz4iIrIVTnxERGQrnPiIiMhWOPEREZGtGBJuUT2drzWgIi1WGhWIkBZ9pRAJIC+kSt1cpGCJEZsjSh1spKACIAcKtJ4z1e/L33OuOq/V1dV+va4RpIVz1SaZ0mK/9PsN5I4PeoI0UgDCrAAIoH3DaUA+t9I1Jt0TzAqWqDZ7lsaM9L70dFjRw5/NpgGguLjY55jUJceoIKHE3247ZnVu4ic+IiKyFU58RERkK5z4iIjIVjjxERGRrXDiIyIiW9Gd6pSSbKpEo5SK0vqaVpASTxIzE3L/ptqPSjoupSql1k+qhKCe96V1Hzg9Zs+e7dffH42UDlMlxqTxKJ1b6Ryozq2/iURVSlJiRMJYD+l8qc6DlOCsqqryOWbWe5CuG1VrLq2JwiVLlvgc6+zsFH82kC3PJFKC08yWgnpSnaoEuxn4iY+IiGyFEx8REdkKJz4iIrIVTnxERGQrhoRbVOEUae8tqY2O1Qu+egXD/nJSEEVrSMiIcM66des0v67WNlWBPq+qUIM0RiXSnnOq34G/rZv0tCyTQmVmXmNSyy899QYyLCaNO2lvOBUpiCNRte8LZPBICotJ49CoffekcaA14Bho/MRHRES2womPiIhshRMfERHZCic+IiKyFd3hFj3720mkBdBgCbdIi+xSNxepi0agu2VItIYEVN1g9IQM9HRC8TfYYRY9407qKiH9zo3Y20wKhugJYEgdZaQxa9ReZ1LnElVQSapNClfo6VSjh/SeVYEVady2tbX5HJPGRiADOypSDVJ3JaP255SuBz17nwYSP/EREZGtcOIjIiJb4cRHRES2womPiIhsRXe4RQ9pYVNapH/66adNq0FauJUCNoD2UIFZHUakWlUBjOrqap9j586d0/TvBLpDirTILnXQCDRVIEnqSiN1czEqHPJv0u8nJydH/FlpHEhyc3N9jhlVv/Q6qnqlsSBtnSUFsMwKjKjGgRTEka5H6e8bUat0P1LdK6Uxo7VrihHblKlqUN1rpXBLILu86J74hoeHkZ+fjwULFsDtdptRk2FqampQU1MDh8OBmTNnoqCgAJMnT7a6LNHhw4dx6NAhjBs3DnPmzEFeXp7m/QGtECrjoLGx8R+pvd7eXnR3d6OtrQ1TpkyxsDLZ+fPnsWvXLvT19SEsLAz5+fl46KGHrC5LqaWlBR988AHCwsIwadIklJSUYNasWVaXNarW1lbk5eVp/o+iVTweD5qamuBwOBAdHS3+ByGYhMo9AdD5VeeFCxeQk5OD5uZms+oxTEdHBw4ePIgDBw6grq4OsbGx+OSTT6wuS/Tdd9+hsrIS+/fvR01NDRISElBaWmp1WUqhNA5SU1Ph8Xjg8XjQ0NAAl8uFHTt2BOWk19/fD7fbjaysLBw+fBivvvqq2O82WNy6dQt5eXnYv38/PB4PnnnmGZSUlFhd1qguXryIsrIyq8u4r46ODhw9ehTvv/8+KioqMHPmTM2f7q0QSvcEQOcnvtraWqSlpWHGjBlm1WOYuLg4NDc34+bNm7h9+za8Xm/Q1v3zzz8jISEB06ZNAwAsX74c77zzDgYHBy2uTBZK4+DvKisrMXnyZGRkZFhdiujs2bOIjY3FE088AQBITEwM6nN89+5dDA8Po7e3FwBw8+ZNjBs3zuKq1Pr7+5GXl4f8/Hxs377d6nJGFRcXh4MHDyIiIgIDAwP4888/R+4PwSjU7gm6Jr6ioiIAf12gocDpdKKtrQ27d+9GZGQkNmzYYHVJokceeQSHDx/G1atXER0djaamJgwODup6aDmQQm0cAMD169dRVVWFY8eOWV2KUmdnJ1wuF0pKSvDLL7/ggQcewBtvvGF1WUoTJkxAcXExMjIy8OCDD2JoaAh1dXVWl6VUVFSE9PR0LFy40OpSNImIiMC3336LvXv3wul0Yu3atTh06JDVZYlC7Z4w5lOdSUlJOHXqFNavX4/c3FwMDQ1ZXZKP+Ph4bN68GW+99RZycnLgcDgwceJEOJ1Oq0sbM44cOYIVK1YgNjbW6lKU7ty5g7a2NqSmpqK6uhppaWnYunUrBgYGrC5NdP78eZSXl+PEiRM4c+YMNm3ahC1btmB4eNjq0nzU1tYiIiICq1evtroUXRISElBfX4+srCwUFBRYXc6YYWqqU0r5SO19zNDV1QWv14vff/8dwF+tx65evYqTJ09q3m/t3t/7N1VS6b/q6+vD448/jrS0NABAd3c3KisrMWvWLOVeWVJqTvqEKKX5At0iTmvrJDP3Cjtx4gQKCwvvWwMgj1GzEpx/N3XqVMybNw9PPvnkyL9ZWlqK3t5eZds3KZEntdXSulejHmfOnMGjjz46EmbJzMxEaWkpbty4oUwfSgENaR3T6ATn8ePHcevWLaSkpGBwcHDkzxUVFcqvEKVzFqhvYbq6utDR0YG4uDgAwPPPP499+/ahp6dH/I+FlJKW9uOT9pA0s72aKkEu1Sa9B7PSvWP2E5/X68W2bdtw8+ZNAH9F/adPn44JEyZYXJmvP/74A9nZ2ejr6wMAfPTRR3jxxRfhcDgsrmxs6OnpwaVLl8SeksEkMTERly9fRkdHBwCgvb0dDocDMTExFlcmW7RoEdrb23Ht2jUAf6UlY2JigjI53dDQgKamJng8HlRUVGD8+PHweDxBu27m9XpRWlo6MtGePn0as2fPDspP06HI1E98VoqPj8emTZvw8ccfIywsDBMnTlQ+W2S1uXPnYsOGDUhLS8PQ0BAee+yxke/MyX9dXV1wuVxB/9Wxy+VCeXk5iouL0d/fj8jISOzbty9oAyPLli2D2+1GdnY2nE4nJk2ahA8//NDqssaE+Ph4ZGRkIC8vD+Hh4YiKisKuXbvwwgsvWF3amPCfJr49e/YYXYcp1qxZE5Sf8CRZWVnIysqyugxdQmUcLF68GC0tLVaXocnSpUtRX19vdRmaZWZmIjMz0+oydImJiQn6Z/gAIDk5GcnJyVaXoUuo3BPG7FedREREEscwvzQmIiIb4Sc+IiKyFU58RERkK5z4iIjIVjjxERGRrXDiIyIiW+HER0REtvJ/gURlu2ZCWZgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xdd3f5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(6, 6))\n",
    "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, \n",
    "                    hspace=0.05, wspace=0.05)\n",
    "for i in range(100):\n",
    "    ax = fig.add_subplot(10, 10, i+1, xticks=[], yticks=[])\n",
    "    ax.imshow(digits.images[i], cmap=plt.cm.binary, interpolation='nearest')\n",
    "    ax.text(0, 7, str(digits.target[i]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, ytrain, ytest = train_test_split(digits.data, digits.target,\n",
    "                                                 random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = RandomForestClassifier(n_estimators=1000)\n",
    "model.fit(X_train, ytrain)\n",
    "ypred = model.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             precision    recall  f1-score   support\n",
      "\n",
      "          0       1.00      0.97      0.99        38\n",
      "          1       0.98      0.95      0.97        44\n",
      "          2       0.95      1.00      0.98        42\n",
      "          3       0.98      0.98      0.98        45\n",
      "          4       0.97      1.00      0.99        37\n",
      "          5       0.98      0.96      0.97        49\n",
      "          6       1.00      1.00      1.00        52\n",
      "          7       1.00      0.96      0.98        50\n",
      "          8       0.94      0.98      0.96        46\n",
      "          9       0.98      0.98      0.98        47\n",
      "\n",
      "avg / total       0.98      0.98      0.98       450\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from sklearn import metrics\n",
    "print(metrics.classification_report(ypred, ytest))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "画出混淆矩阵："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(92.68,0.5,'Predicted label')"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xde28ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "mat = confusion_matrix(ypred, ytest)\n",
    "sns.heatmap(mat.T, square=True, annot=True, fmt='d', cbar=False)\n",
    "plt.xlabel('True label')\n",
    "plt.ylabel('Predicted label')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.8.5随机森林总结  \n",
    "随机森林是一种强大的机器学习方法，它的优势在于以下几点：  \n",
    "• 因为决策树的原理很简单，所以它的训练和预测速度都非常快。另外，多任务可以直接\n",
    "并行计算，因为每棵树都是完全独立的。  \n",
    "• 多棵树可以进行概率分类：多个评估器之间的多数投票可以给出概率的估计值（使用\n",
    "Scikit-Learn 的 predict_proba() 方法）。  \n",
    "• 无参数模型很灵活，在其他评估器都欠拟合的任务中表现突出。  \n",
    "  \n",
    "随机森林的主要缺点：在于其结果不太容易解释，也就是说，如果你想要总结分类模型的意义，随机森林可能不是最佳选择。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.001, 0.019, 0.85 , ..., 0.016, 0.034, 0.013],\n",
       "       [0.012, 0.051, 0.058, ..., 0.03 , 0.61 , 0.066],\n",
       "       [0.   , 0.005, 0.982, ..., 0.   , 0.005, 0.001],\n",
       "       ...,\n",
       "       [0.004, 0.003, 0.003, ..., 0.001, 0.019, 0.056],\n",
       "       [0.   , 0.571, 0.034, ..., 0.014, 0.24 , 0.006],\n",
       "       [0.002, 0.003, 0.004, ..., 0.007, 0.007, 0.854]])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.predict_proba(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig.subplots_adjust?"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
